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Finding the Fourth Proportional to 3,493.20, 4,811.22 and 3,230.46

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Solution

The fourth proportional to 3,493.20, 4,811.22 and 3,230.46 is: 4,449.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.20 : 4,811.22 = 3,230.46 : x
  2. Step 2: Convert to fraction form
    3,493.20/4,811.22 = 3,230.46/x
  3. Step 3: Cross multiply
    3,493.20x = 4,811.22 × 3,230.46
  4. Step 4: Simplify right side
    3,493.20x = 15,542,453.76
  5. Step 5: Solve for x
    x = 15,542,453.76/3,493.20
  6. Step 6: Final answer
    x = 4,449.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.